Four vehicles travelled on a road. What can you deduce from the times that they met?

Parabolas Again

Stage: 4 and 5 Challenge Level:

Here is a pattern for you to experiment with. This one is
composed of the graphs of 14 parabolas. You may like to use a
graphic calculator or graph drawing software to do this question.
For example you can download Graphmatica for free from here .

The equations of three of the graphs are: $$y=2(x-6)^2-4$$
$$y=2x^2 -1$$ $$y= -2(x-4)^2 +3$$

Find the equations of the other 11 graphs in this pattern. Draw
your own pattern and send it to us.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.